Question

Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches.

Answer 1

Answer: 0.84134

Step-by-step explanation:

We need to find the z-score for the given information first since this will help us find the probability. The formula for this is

Z score = $\frac{x - \mu}{\sigma}$

We have

$x =$ 66 inches (the raw score)

$\mu =$ 70 inches (the population mean)

$\sigma$ = 4 inches (the standard deviation)

This gives

Z score = $\frac{x - \mu}{\sigma}$ = $\frac{66-70}{4} = -1$

If you use a calculator, or a Z-score table then P(x > Z) is just P(Z > -1) which gives a probability of 0.84134.